GCF
Factoring Theory
Factoring
x^2 + bx +c
Factoring
ax^2+bx+c
Factoring 4-term Polynomials
100

This is what GCF stands for.

What is Greatest Common Factor?

100

The word for a three term polynomial.

What is trinomial?

100

x2+4x+3 = (x+3)(x+?)

What is 1?

100

Factored form of 2x2-5x+3.

What is (2x-3)(x-1)?

100

2x(x+3)-4(x+3) in factored form.

What is (x+3)(2x-4)?

200

2x2y - 3xy = ?(2x-3)

What is xy?

200

This is always the first step in the factoring process, no matter how many terms your polynomial has.

What is looking for a GCF and factoring it out if there is one?

200

Two numbers that add to -3 and multiply to -28.

What is 4 and -7?
200

Factored form of 5x2+22xy+8y2.

What is (5x+2y)(x+4y)?

200

The type of factoring that you use for 4-term polynomials.

What is factoring by grouping?

300

The GCF of 16x3 and 26x.

What is 2x?

300

The term for a polynomial that is not factorable.

What is prime?

300

The factored form of x2+6x-16

What is (x-2)(x+8)?

300

Part way through the process of factoring. The trinomial 9x2+10x-16 becomes the 4-term polynomial 9x2 + ? + ? -16.

What is 18x and -8x?

300

Factored form of 21x3+6x2+49x+14

What is (3x2+7)(7x+2)?
400

Factored form of 3x4y2+15x3y3.

What is 3x3y2(x+5y)?

400

These are the signs (positive or negative) of the numbers on the left and right of the big X ("x game" we use to help us factor) when the top number is positive and the bottom number is negative.

What is negative and negative?

400

Factored form of x2-xy-12y2.

What is (x+3y)(x-4y)?

400

Factored form of 20p2-72p+36.

What is 4(5p-3)(p-3)?

400

Factored form of 49xy-14xz3+14zy-4z4.

What is (7x+2z)(7y-2z3)?

500

Factored form of 17x2+51x+17x.

What is 17x(x+3+1)?

500

These are the signs (positive or negative) of the numbers on the left and right of the big X ("x game" we use to help us factor) when the top number is negative and the bottom number is negative.

What is positive and negative (negative on the bigger #)?

500

Factored form of 4v3+4v2-360v.

What is 4v(v+10)(v-9)?

500

Factored form of 60k2+198k+120.

What is 6(5k+4)(2k+5)?

500

Factored form of 105xc+42xf+280yc+112yf.

What is 7(3x+8y)(5c+2f)?